110111012100112 has 40 divisors (see below), whose sum is σ = 220697556427800. Its totient is φ = 53156819745792.

The previous prime is 110111012100097. The next prime is 110111012100119. The reversal of 110111012100112 is 211001210111011.

It can be written as a sum of positive squares in 4 ways, for example, as 19026206505216 + 91084805594896 = 4361904^2 + 9543836^2 .

It is a super-2 number, since 2×110111012100112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110111012100092 and 110111012100101.

It is not an unprimeable number, because it can be changed into a prime (110111012100119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194995714 + ... + 195559582.

It is an arithmetic number, because the mean of its divisors is an integer number (5517438910695).

Almost surely, 2^{110111012100112} is an apocalyptic number.

It is an amenable number.

110111012100112 is an abundant number, since it is smaller than the sum of its proper divisors (110586544327688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110111012100112 is a wasteful number, since it uses less digits than its factorization.

110111012100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984763 (or 984757 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 110111012100112 its reverse (211001210111011), we get a palindrome (321112222211123).

The spelling of 110111012100112 in words is "one hundred ten trillion, one hundred eleven billion, twelve million, one hundred thousand, one hundred twelve".